What is the derivative of #sin(4 pi x)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Andrea S. Dec 14, 2016 #d/(dx)(sin(4pix)) = 4picos(4pix)# Explanation: Using the chain rule: #d/(dx)(sin(4pix)) = (dsin(4pix))/(d(4pix))(d(4pix))/(dx)=cos(4pix)*4pi# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 7914 views around the world You can reuse this answer Creative Commons License